48315700 has 72 divisors (see below), whose sum is σ = 112539672. Its totient is φ = 17940480.

The previous prime is 48315679. The next prime is 48315731. The reversal of 48315700 is 751384.

48315700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 898704 + 47416996 = 948^2 + 6886^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164754 + ... + 165046.

It is an arithmetic number, because the mean of its divisors is an integer number (1563051).

Almost surely, 2^48315700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48315700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56269836).

48315700 is an abundant number, since it is smaller than the sum of its proper divisors (64223972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48315700 is a wasteful number, since it uses less digits than its factorization.

48315700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 48315700 is about 6950.9495754177. The cubic root of 48315700 is about 364.2191350467.

The spelling of 48315700 in words is "forty-eight million, three hundred fifteen thousand, seven hundred".